Jacob needs to buy fertilizer for two fields. One field is shaped like a trapezoid, and the other is shaped like a triangle. The trapezoidal field has bases that are 35 and 48 yards and a height of 26 yards. The triangular field has the same height as the trapezoidal field and base of 39 yards. Each bag of fertilizer covers 150 square yards. How many bags of fertilizer does Jacob need to buy?

Question

Mathematics

Albert Branch

20 April, 14:25

Jacob needs to buy fertilizer for two fields. One field is shaped like a trapezoid, and the other is shaped like a triangle. The trapezoidal field has bases that are 35 and 48 yards and a height of 26 yards. The triangular field has the same height as the trapezoidal field and base of 39 yards. Each bag of fertilizer covers 150 square yards. How many bags of fertilizer does Jacob need to buy?

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Anna Schroeder · Answer 1

The formula for the area of the trapezoid is

A = 26 * ((35+48) / 2)

A = 26 * ((83) / 2)

A =

A triangle is half of a rectangle.

As you know, the area of a rectangle is equal to the base times the height.

So, the formula for a triangle is

A = (base times the height) divided by 2

Now add together the area of the trapezoid and the triangle, and divide the total by 150 too find the number of bags needed.